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Graph y = 2 3 đť‘Ą - 1

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Write the equation of a line that is perpendicular to y = -5x -8 and passes through the point (0,9) Write the equation of a line that is parallel to y = 4 5 đť‘Ą+13 and passes through the point (0,-6)

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**Chapter 8.9 system of linear equations**

Todayâ€™s objectives: - solve a system of linear equations through graphing and determine whether there is one solution, infinite solutions, or no solution.

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**Important vocabulary System of linear equations**

-two linear equations with the same two variables. The two variables will make both equations true. ex: 2x -1 = y **the solution x = 5 and y = 9 makes x + 4 = y both statements true. Solution of a linear system - an ordered pair (x,y) whose values make both linear equations true.

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**We can graph two linear equations to find a solutionâ€¦**

Y = 2x â€“ 4 Y = -3x + 1

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**We can graph two linear equations to find a solutionâ€¦**

Y = x + 2 Y = -2x + 2

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**We can graph two linear equations to find a solutionâ€¦**

Y = x + 4 Y = 4x + 1

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**There can be 3 different outcomes to graphing a system of linear equationsâ€¦**

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**Find the solution to the system**

y + 2x = 1 y = -2x + 3

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**Find the solution to the system**

y x = 5 y = x + 5

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**Find the solution to the system**

Y = 1 2 x + 2 Y = -x + 5

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**Steps we take to solve a system by graphing**

1.) make sure both equations are in slope-intercept form y = mx + b 2.) graph both equations 3.) find the solution -three different outcomes 1- one solution 2- infinite solutions 3 - no solution

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Practice on your own 1.) y = 1 3 đť‘Ą â€“ 3 2.) y â€“ x = 5 3.) y đť‘Ą = 2 y = đť‘Ą + 1 y = x + 7 y â€“ 2 = 2 3 đť‘Ą

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Homework Page 433 #â€™S 2-5, 7-21

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